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Finding the Fourth Proportional to 7,802.84, 10,767.90 and 4,266.05

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Solution

The fourth proportional to 7,802.84, 10,767.90 and 4,266.05 is: 5,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.84 : 10,767.90 = 4,266.05 : x
  2. Step 2: Convert to fraction form
    7,802.84/10,767.90 = 4,266.05/x
  3. Step 3: Cross multiply
    7,802.84x = 10,767.90 × 4,266.05
  4. Step 4: Simplify right side
    7,802.84x = 45,936,399.80
  5. Step 5: Solve for x
    x = 45,936,399.80/7,802.84
  6. Step 6: Final answer
    x = 5,887.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.